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Real rank of C*-algebras associated with graphs

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  09 April 2009

Ja A Jeong
Ja A Jeong
Affiliation:
BK21, Mathematical Sciences Division, Seoul National university, Seoul 151-742, Korea e-mail: jajeong@math.snu.ac.kr
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Abstract

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For a locally finite directed graph E, it is known that the graph C*-algebra C*(E) has real rank zero if and only if the graph E satisfies the loop condition (K). In this paper we extend this to an arbitrary directed graph case using the desingularization of a graph due to Drinen and Tomforde

Keywords

real rankgraph C*-algebras

MSC classification

Secondary: 46L05: General theory of $C^*$-algebras 46L35: Classifications of $C^*$-algebras
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 77 , Issue 1 , August 2004 , pp. 141 - 147
Copyright
Copyright © Australian Mathematical Society 2004

References

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